Lecture

Isometries: Transformations Preserving Distances

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Delves into modern geometry, covering transformations, isometries, and symmetries.

Covers the preservation of isometry by rotations and symmetries.

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Explores isometries, distinguishing between rotations and reflections, and the preservation of orientation in geometric transformations.

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Explores geometry transformations, emphasizing isometries, point reflections, rotations, and translations to illustrate fundamental geometric principles.

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Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.

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Explores the concept of symmetry in various geometric transformations.

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Explores the configurations and transformations of three planes in space.

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Covers translations, homotheties, and their geometric properties, including reversibility and composition.

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Explores geometric transformations, symmetries, inversion, and isometries in plane geometry.

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Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

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Covers translations, homotheties, and their analytical expressions, emphasizing stability by composition.

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